1. **State the problem:** We have a tank with water draining over time. The table shows minutes and gallons remaining: (0,60), (4,50), (8,40), (12,30). 2. **Identify the relationship:** The gallons decrease as time increases, suggesting a linear function of the form $$y = mx + b$$ where $y$ is gallons, $x$ is minutes, $m$ is the rate of change (slope), and $b$ is the initial amount. 3. **Calculate the slope $m$:** Using points $(0,60)$ and $(4,50)$, $$m = \frac{50 - 60}{4 - 0} = \frac{-10}{4} = -2.5$$ This means the tank loses 2.5 gallons per minute. 4. **Find the initial amount $b$:** At $x=0$, $y=60$, so $b=60$. 5. **Write the equation:** $$y = -2.5x + 60$$ This shows gallons decrease by 2.5 each minute from 60 gallons. 6. **Evaluate the statements:** - Statement ④: "The situation can be represented by the equation $y = 2.5x + 60$." This is **False** because the slope should be negative. - Statement ⑤: "The aquarium initially contained 60 gallons of water." This is **True** as $y=60$ when $x=0$. - Statement ⑥: "The aquarium drains at a rate of 2.5 gallons per minute." This is **True**; the rate is 2.5 gallons per minute but negative since it is draining. **Final answers:** ④ False ⑤ True ⑥ True